When you are jealous or envious of someone, of what they have or have accomplished, you’re truly just staring at your own potential, and wondering why you haven’t unlocked it yet. Deep down, you want to unlock that potential, but for various reasons, the false solutions you’ve created around yourself to protect you from perceived harm and danger have barred you access from reaching and fulfilling…
Attention is everything for a woman and without it she is nothing , she has no meaning in life except obtaining attention and she will do anything necessary to achieve it. Attention is like a drug for girls once they get it they cant stop , they put on fake nails fake eyelashes high heels slutty cloths and objectify them self just to get it. We men have something that they need , and they need us more then we need them, without us they have no meaning in life and bimbos understand that. This is how the world works and Subwomen need to understand this The only way to achieve your true potential is to accept without attention you are nothing , only then will you have true meaning in life.
Previously in this blog a number of attempts have been made to explicate the Taoist number line and contrast it with the Western version of the same. It is essential to do this and to do it flawlessly, first because different systems of arithmetic result from the two, and secondly because the mandalic coordinate system is based on the former perspective while the Cartesian coordinate system is based on the latter.[1]
What has been offered earlier has been accurate to a degree, a good first approximation. Here we intend to present a more definitive account of the Taoist number line, describing both how it is similar to and how it differs from the Western number line used by Descartes in formation of his coordinate system. This will inevitably transport us well beyond that comfort zone offered by the more accessible three-dimensional cubic box that has heretofore engaged us.
Both Taoist and Western number lines observe directional locative division of their single dimension into two major partitions: positive and negative for the West; yinandyang for Taoism.[2] There the similarities essentially end. From its earliest beginnings Taoism recognized a second directional divisioning in its number line, that of manifest/unmanifestorbeingandbecoming.[3] The West never did such. As a result, some time later the West found it necessary to invent imaginary numbers.[4][5]
Descartes knew of these numbers but was not particularly fond of them. It was he, in fact, who first used the term “imaginary” describing them in a derogatory sense. [Wikipedia] The term “imaginary number” now just denotes a complex number with a real part equal to 0, that is, a number of the form bi. A complex number where the real part is other than 0 is represented by the form a + bi.
In place of the complex plane, Taoism has (and always has had from time immemorial) a plane of potentiality. An explanation of this alternative plane was attempted earlier in this blog, but it can likely be improved. This post has simply been a broad brushstrokes overview. In the following posts we will look more closely at the specifics involved.[6]
Image (lower): A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram representing the complex plane. “Re” is the real axis, “Im” is the imaginary axis, and i is the imaginary unit which satisfies i2 = −1. Wolfkeeper at English Wikipedia [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons
Notes
[1] The arithmetic system derived from the Taoist number line can perhaps best be understood as a noumenal one. It applies to the world of ideas rather than to our phenomenal world of the physical senses, but it may also apply to the real world, that is, the real real world which we can never fully access.
Much of modern philosophy has generally been skeptical of the possibility of knowledge independent of the physical senses, and Immanuel Kant gave this point of view its canonical expression: that the noumenal world may exist, but it is completely unknowable to humans. In Kantian philosophy, the unknowable noumenon is often linked to the unknowable “thing-in-itself” (Ding an sich, which could also be rendered as “thing as such” or “thing per se”), although how to characterize the nature of the relationship is a question yet open to some controversy. [Wikipedia]
[2] From the perspective of physics this involves a division into two major quanta of charge, negative and positive, which like yinandyang can be either complementary or opposing. Like forces repel one another and unlike attract. This is the basis of electromagnetism, one of four forces of nature recognized by modern physics. But it is likely also the basis, though not fully recognized as such, of the strong and weak nuclear forces, possibly of the force of gravity as well. I would suspect that to be the case. The significant differences among the forces (or force fields, the term physics now prefers to use) lie mainly, as we shall see, in intricate twistings and turnings through various dimensions or directions that negative and positive charges undergo in particle interactions.
[3] It is this additional axis of probabilistic directional location, along with composite dimensioning, both of which are unique to mandalic geometry, that make it a geometry of spacetime, in contrast to Descartes’ geometry which, in and of itself, is one of space alone. The inherent spatiotemporal dynamism that is characteristic of mandalic coordinates makes them altogether more relevant for descriptions of particle interactions than Cartesian coordinates, which often demand complicated external mathematical mechanisms to sufficiently enliven them to play even a partial descriptive role, however inadequate.
[4] In addition to their use in mathematics, complex numbers, once thought to be "fictitious" and useless, have found practical applications in many fields, including chemistry, biology, electrical engineering, statistics, economics, and, most importantly perhaps, physics..
[5] The Italian mathematician Gerolamo Cardano is the first known to have introduced complex numbers. He called them “fictitious” during his attempts to find solutions to cubic equations in the 16th century. At the time, such numbers were poorly understood, consequently regarded by many as fictitious or useless as negative numbers and zero once were. Many other mathematicians were slow to adopt use of imaginary numbers, including Descartes, who referred to them in his La Géométrie, in which he introduced the term imaginary, that was intended to be derogatory. Imaginary numbers were not widely accepted until the work of Leonhard Euler (1707–1783) and Carl Friedrich Gauss (1777–1855). Geometric interpretation of complex numbers as points in a complex plane was first stated by mathematician and cartographer Caspar Wessel in 1799. [Wikipedia]
[6] What I have called here the plane of potentiality occurs only implicitly in the Taoist I Ching but is fully developed in mandalic geometry. It may be related to bicomplex numbers or tessarines in abstract algebra, the existence of which I only just discovered. Unlike the quaternions first described by Hamilton in 1843, which extended the complex plane to three dimensions, but unfortunately are not commutative, tesserines or bicomplex numbers are hypercomplex numbers in a commutative, associative algebra over real numbers, with two imaginary units (designated i and k). Reading further, I find the following fascinating remark,
The rectangular hyperbola x2-y2 and its conjugate, having the same asymptotes. The Unit Hyperbola is blue, its conjugate is green, and the asymptotes are red. By Own work (Based on File:Drini-conjugatehyperbolas.png) [CC BY-SA 2.5],via Wikimedia Commons
Note to self: Also investigate Cayley–Dickson constructionandzero divisor. Remember, this is a work still in progress, and if a bona fide mathematician believes division by zero is possible in some circumstances, (as is avowed by mandalic geometry), I want to find out more about it.
Please note: The content and/or format of this post may not be in finalized form. Reblog as a TEXT post will contain this caveat alerting readers to refer to the current version in the source blog. A LINK post will itself do the same. :)
Scroll to bottom for links to Previous / Next pages (if existent). This blog builds on what came before so the best way to follow it is chronologically. Tumblr doesn’t make that easy to do. Since the most recent page is reckoned as Page 1 the number of the actual Page 1 continually changes as new posts are added. To determine the number currently needed to locate Page 1 go to the most recent post which is here. The current total number of pages in the blog will be found at the bottom. The true Page 1 can be reached by changing the web address mandalicgeometry.tumblr.com to mandalicgeometry.tumblr.com/page/x, exchanging my current page number for x and entering. To find a different true page(p) subtract p from x+1 to get the number(n) to use. Place n in the URL instead of x (mandalicgeometry.tumblr.com/page/n) where n = x + 1 - p. :)
KEEP THE FAITH. Don’t let failures break you down and make you quit. You’re not a pushover…you’re warrior. You’ve got sweet cat’s eyes but a lion’s heart, so be brave, be strong. See your great potential and make it became action. “You’re maravelous, Gods are waiting to delight in you”
1. Don’t beat yourself. We all make mistakes, have bad experiences, and get it wrong at times.
2. Don’t dwell on what happened. Choose to learn from the past – but remember that your power’s in the present and the future.
3. Remember your potential, and what’s possible for you. You’re not that one experience or bad result.
4. Don’t let others’ expectations shape and influence your goals. It’s not their life you’re living … So decide what you will do.
5. Imagine how you’ll feel if you persevere and, despite all the obstacles, achieve success. That’s surely worth the effort, even thought it’s hard right now.
6. Just take one small step … It will rebuild your confidence … And then take another … And another after that.
When we were children, my sister had private music lessons at her violin teacher’s house. I only visited there once, but I still remember that afternoon. The teacher had an artificial pond in her yard, a large beautiful thing with lily pads and plant life. And in the pond, there were goldfish. I had never seen such enormous goldfish.
I spent several minutes just staring at them (and trying to convince them to bite my fingers.) When my sister’s violin lesson ended, her teacher came out to the yard and explained that these goldfish were the same small creatures that were often unfortunately sold in plastic bags at state fairs. They were only about two inches long apiece, when she bought them and put them in the new, empty pond. In essence, they were like every goldfish I had seen before, but they had been given a much larger, much richer environment in which to flourish. As a result, they had grown into some of the most remarkable, vibrant creatures my twelve-year-old self had ever met with. All because of a pond.
Funny what lessons children remember. My sister doesn’t play the violin anymore, but that was the first time I caught a glimpse of the overwhelming extent to which it matters, the way the world treats us.
